Question

WHich is the graph of y= 1/2x?

Answer 1

A. http://static.k12.com/calms_media/media/1503500_1504000/1503772/1/5afd0b9bb4861bae518958d61ebaa2a6f9dddcc4/MS_IMC-140523-131303.jpg


B. http://static.k12.com/calms_media/media/1503500_1504000/1503783/1/17761cebebae1d8538053aa11c62dfbf6c7f794f/MS_IMC-140523-1313019.jpg


C. http://static.k12.com/calms_media/media/1503500_1504000/1503782/1/a2a4fea3c53d2a02f140780631b06aef06c794c4/MS_IMC-140523-1313013.jpg


D. http://static.k12.com/calms_media/media/1503500_1504000/1503781/1/24c8ee5bb5a616ae73b02f06225d167c50b337f3/MS_IMC-140523-1313012.jpg

Answer 2

\[\large \rm y = \dfrac{1}{2}x\]

Answer 3

probably graph A bye

Answer 4

a

Answer 5

yeah i was thinking A 2

Answer 6

thats a very good wrong guess

Answer 7

its c

Answer 8

realy?

Answer 9

slope = 1/2

rise = 1
run = 2

Answer 10

Its C

Answer 11

that means the graphs goes UP 1 unit
for every 2 units RIGHT

yes ?

Answer 12

y = (1/2)^x
is an exponential function where x is the exponent

1° case when x approaches negative infinity
Note that y = (1/2)^x = 2^(-x) so when x -> (-inf.), function approaches y = 2^[-(-inf)] = 2^(+inf)
and lim(y) {x -> -inf} = +inf
When x decreases to -inf., y grows to +inf

2° case when x approaches positive infinity
We can write
y = (1/2)^x = f(x)/g(x)
where f(x)=1 and g(x)=2^x
and then use following rule
lim[f(x)/g(x)] {x -> inf} = lim f(x) {x -> inf} / lim g(x) {x -> inf}
therefore
lim[(1/2)^x] {x -> inf} = lim[1/(2^x)] {x -> inf} = lim (1){x -> inf} / lim (2^x){x -> inf}
lim (1){x -> inf} = 1
lim (2^x){x -> inf} = inf
lim[(1/2)^x] {x -> inf} = 1 / inf. = 0
The limit of y as x approaches +infinity is 0.
That means horizontal line y=0 is horizontal asymptote of function y = (1/2)^x.

3° intercept with y-axis
For x=0,
y = (1/2)^0 = 1
Graph of this function passes through (0,1).

Answer 13

thats a different question

y = (1/2)x

is not same as

y = (1/2)^x

Answer 14

btw C is the right graph

Answer 15

im not sure its C

Answer 16

i would have to go with a

Answer 17

because theres a direct split in graph A

Answer 18

A is y = 2x @some.random.cool.kid

Answer 19

im confused

Answer 20

@ganeshie8 the right answer is C

Answer 21

yes

Answer 22

thx